CENTER WEIGHTED MEDIAN FILTERS - SOME PROPERTIES AND THEIR APPLICATIONS IN IMAGE-PROCESSING

被引：42

作者：

SUN, T

GABBOUJ, M

NEUVO, Y

机构：

[1] Signal Processing Laboratory, Tampere University of Technology, SF-33101 Tampere

来源：

SIGNAL PROCESSING | 1994年 / 35卷 / 03期

关键词：

CENTER WEIGHTED MEDIAN FILTER; ROOT PROPERTY; CONVERGENCE PROPERTY; SEPARABLE OPERATION; ADAPTIVE FILTER;

D O I：

10.1016/0165-1684(94)90212-7

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Several deterministic properties of center weighted median (CWM) filters are analyzed in this paper. The root structures of CWM filters are derived. A test is devised to check whether a signal is a root of a given CWM filter. The convergence behavior of recursive and nonrecursive CWM filters is then analyzed. In particular, based on their root structures, it is proven that repeated filtering on any appended finite length signal by any CWM filter produces roots in a finite number of filter passes. A synthesis method of CWM filters under structural constraints is presented. A separable CWM filter is proposed as an application of one-dimensional CWM filters in image processing. It is expected that by using CWM filters, more details can be preserved along the horizontal and vertical directions. Adaptive separable CWM filters are then proposed. We show that they can be better than two-dimensional adaptive CWM filters with the same window size in some cases. Adaptive CWM filters are then extended to adaptive symmetric weighted median filters.

引用

页码：213 / 229

页数：17

共 26 条

[1]

Arce, Multistage order statistic filters for image sequence, IEEE Transactions on Signal Processing, 39, 5, (1991)

[2]

Browning, The weighted median filter, Communications of the ACM, 27, pp. 807-818, (1984)

[3]

Chan, Lim, One-dimensional processing for adaptive image restoration, IEEE Trans. Acoust. Speech Signal Process, 33 ASSP, 1, pp. 117-126, (1985)

[4]

Fitch, Coyle, Gallagher, Root properties and convergence rates of median filters, IEEE Trans. Acoust. Speech Signal Process, 33 ASSP, 1, pp. 230-240, (1985)

[5]

Gabbouj, Yu, Coyle, Convergence behavior and root signal sets of stack filters, Circuits Systems and Signal Processing, Special Issue on Median and Morphological Filtering, 11, 1, pp. 171-193, (1992)

[6]

Gallagher, Wise, A theoretical analysis of the properties of median filters, IEEE Trans. Acoust. Speech Signal Process, 29, 6, pp. 1136-1141, (1981)

[7]

Haavisto, Juhola, Neuvo, Scan rate up-conversions using adaptive weighted median filtering, Proc. 3rd Internat. Workshop on HDTV, (1989)

[8]

Haavisto, Gabbouj, Neuvo, Median based idempotent filters, Journal of Circuits, Systems and Computers, 1, 2, pp. 125-148, (1991)

[9]

Han, Song, Park, Some root properties of recursive weighted median filters, Signal Processing, 25, 3, pp. 337-344, (1991)

[10]

Jarske, Neuvo, Adaptive DPCM with median type predictors, IEEE Trans. Consumer Electron., 37, 3, pp. 348-352, (1991)

← 1 2 3 →